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Finding the Fourth Proportional to 97,871.76, 146,817.36 and 31,295.16

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Solution

The fourth proportional to 97,871.76, 146,817.36 and 31,295.16 is: 46,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.76 : 146,817.36 = 31,295.16 : x
  2. Step 2: Convert to fraction form
    97,871.76/146,817.36 = 31,295.16/x
  3. Step 3: Cross multiply
    97,871.76x = 146,817.36 × 31,295.16
  4. Step 4: Simplify right side
    97,871.76x = 4,594,672,771.98
  5. Step 5: Solve for x
    x = 4,594,672,771.98/97,871.76
  6. Step 6: Final answer
    x = 46,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.